A strip with constant stresses on the cut: exact solutions

The Wiley-VCH journal “Zeitschrift für Angewandte Mathematik und Mechanik” (Web of Science Q3, Scopus Q2, Impact Factor JCR: 1.103) published an article “A strip with constant stresses on the cut: exact solutions”. Among the authors are employees of the IEPT RAS: senior researcher, Ph.D. A.P. Kerzhaev and senior researcher, Ph.D. I.V. Menshov.

We construct exact solutions of three boundary value problems in the theory of elasticity for an infinite strip with a central transverse cut on which constant normal stresses are specified (even-symmetric deformation). We consider three variants of homogeneous boundary conditions on the strip sides: (1) free sides, (2) firmly clamped sides, and (3) there are identical stiffeners on the strip sides. The solutions of all problems are represented as series in Papkovich–Fadle eigenfunctions whose coefficients are determined from simple closed formulas.

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Approaches to Solving the Maximum Possible Earthquake Magnitude (Mmax) Problem

The problem of estimation the maximum possible magnitude of regional earthquakes Mmax is examined. Statistical and paleoseismological approaches to this problem are combined. Within the framework of the statistical approach, the method of statistical moments, the Bayes method, the method based on the theory of extreme values ​​(EVT) are examined and compared.

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A TEMPERATURE PROBLEM FOR A SQUARE: AN EXACT SOLUTION

Determining the thermal stresses in elastic plates is a necessary component in strength calculations of elements of thin-walled structures, for example, the skin of aircraft and rockets in aerodynamic heating conditions.

Knowledge of the magnitude and nature of the action of thermal stresses is necessary for a comprehensive analysis of the strength of the structure. Thermal stresses in themselves and in combination with mechanical stresses from external forces can cause cracks and destruction of structures made of materials with increased fragility.

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Identifying Potential Earthquake Sources in Continental Environments

In this paper, we outline the overview of the problem of intraplate seismicity and summarize our studies aimed at identifying potential earthquake sources in three regions located in the continental environments. We study the French Massif Central located within the West-European platform, the Gujarat area situated at the northwestern edge of the Indian shield, and northeast Egypt located in the northeastern corner of the African continent.

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Late Glacial and postglacial seismicity in the Northeastern Fennoscandian Shield: tectonic position and age of paleo-earthquakes near Murmansk

The results of paleoseismological studies in the area south of the city of Murmansk are discussed. As the main seismogenic zone, a system of strike-slip and reversefaults of the NNW strike along the Kola rivervalley is identified here. Radiocarbon dating identified three episodes of high seismic activity: from 9500 to 10500 years ago, from 892 to 1182 and about 300 years ago.

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